| Definition: | for a material point and a given origin point, axial vector quantity equal to the vector product of the position vector r and the momentum p, thus L = r × p NOTE 1 For a continuous body, angular momentum is equal to the integral L = ∫ r × v dm = ∫ (r × v)ρ dV, where ρ is the mass density in an domain having quasi-infinitesimal mass dm and volume dV, position vector r, and velocity v. For a system of particles, it is equal to the sum of their angular momentums. NOTE 2 A body with moment of inertia Jz with respect to an axis z and rotating with angular velocity ωz round that axis has angular momentum Lz = Jzωz. NOTE 3 The coherent SI unit of angular momentum is kilogram metre squared per second, kg·m2/s.
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